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Finding the Fourth Proportional to 301,805.26, 416,491.14 and 165,847.97

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Solution

The fourth proportional to 301,805.26, 416,491.14 and 165,847.97 is: 228,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,805.26 : 416,491.14 = 165,847.97 : x
  2. Step 2: Convert to fraction form
    301,805.26/416,491.14 = 165,847.97/x
  3. Step 3: Cross multiply
    301,805.26x = 416,491.14 × 165,847.97
  4. Step 4: Simplify right side
    301,805.26x = 69,074,210,091.99
  5. Step 5: Solve for x
    x = 69,074,210,091.99/301,805.26
  6. Step 6: Final answer
    x = 228,870.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.